Suppose that X1andX, constitute a random sample of size 2 from a population with probability density function given by Sexe-1, 10, If we wish to test Ho :0=1 versus H, : 0 = 2, show that the 0 < x < 1 elsewhere f(x\0) = a. critical region is x1X2 2 3 for a particular value of the 4 constant, k b. Using the critical region in (a) above, find the power of the test at 0= 2

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Suppose that X1andX, constitute a random sample of size 2
from a population with probability density function given by
Sexe-1,
10,
f (x|0) =
0 < x < 1
elsewhere
If we wish to test Ho :0=1 versus H : 0 = 2, show that the
critical region is x1X2 2
a.
3
for a particular value of the
4
constant, k
Using the critical region in (a) above, find the power of the
test at 0 = 2
b.
Transcribed Image Text:Suppose that X1andX, constitute a random sample of size 2 from a population with probability density function given by Sexe-1, 10, f (x|0) = 0 < x < 1 elsewhere If we wish to test Ho :0=1 versus H : 0 = 2, show that the critical region is x1X2 2 a. 3 for a particular value of the 4 constant, k Using the critical region in (a) above, find the power of the test at 0 = 2 b.
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